Selecta Mathematica

, Volume 22, Issue 1, pp 1–25 | Cite as

Quantization of line bundles on lagrangian subvarieties

  • Vladimir Baranovsky
  • Victor Ginzburg
  • Dmitry Kaledin
  • Jeremy Pecharich


We apply the technique of formal geometry to give a necessary and sufficient condition for a line bundle supported on a smooth Lagrangian subvariety to deform to a sheaf of modules over a fixed deformation quantization of the structure sheaf of an algebraic symplectic variety.

Mathematics Subject Classification

53D55 14D21 


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Copyright information

© Springer Basel 2015

Authors and Affiliations

  • Vladimir Baranovsky
    • 1
  • Victor Ginzburg
    • 2
  • Dmitry Kaledin
    • 3
  • Jeremy Pecharich
    • 4
  1. 1.Department of MathematicsUniversity of California at IrvineIrvineUSA
  2. 2.Department of MathematicsUniversity of ChicagoChicagoUSA
  3. 3.Algebraic Geometry SectionSteklov Mathematical InstituteMoscowRussia
  4. 4.Department of MathematicsPomona CollegeClaremontUSA

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